scholarly journals Global-in-time solution and stability of Kuramoto-Sakaguchi equation under non-local Coupling

2017 ◽  
Vol 12 (1) ◽  
pp. 25-57
Author(s):  
Hirotada Honda ◽  
Keyword(s):  
Time Solution ◽  
Non Local ◽  
Local Coupling

scholarly journals Chimera states and the interplay between initial conditions and non-local coupling

2017 ◽  
Vol 27 (3) ◽  
pp. 033110 ◽  
Author(s):  
Peter Kalle ◽  
Jakub Sawicki ◽  
Anna Zakharova ◽  
Eckehard Schöll
Keyword(s):  
Initial Conditions ◽  
Chimera States ◽  
Non Local ◽  
Local Coupling

Non-Local Coupling and Partial Synchronization in Chaotic Systems

2006 ◽  
Vol 23 (4) ◽  
pp. 786-789 ◽  
Author(s):  
Ao Bin ◽  
Ma Xiao-Juan ◽  
Li Yun-Yun ◽  
Zheng Zhi-Gang
Keyword(s):  
Chaotic Systems ◽  
Partial Synchronization ◽  
Non Local ◽  
Local Coupling

scholarly journals Non-local coupling of two donor-bound electrons

2013 ◽  
Vol 15 (3) ◽  
pp. 033020 ◽  
Author(s):  
J Verduijn ◽  
R R Agundez ◽  
M Blaauboer ◽  
S Rogge
Keyword(s):  
Non Local ◽  
Local Coupling ◽  
Bound Electrons

scholarly journals Investigation of DNA Breather Dynamics in A Model with Non-Local Inter-Site Interaction

2020 ◽  
Vol 15 (1) ◽  
pp. 93-105
Author(s):  
E.I. Geraskin ◽  
V.D. Lakhno ◽  
A.P. Chetverikov ◽  
A.S. Shigaev
Keyword(s):  
Stacking Interactions ◽  
Base Pairs ◽  
Non Local ◽  
Local Coupling ◽  
Nonlocal Nature

A variant of the Peyrard-Bishop-Dauxois model is proposed, which takes account of the partially delocalized nature of DNA stacking interactions. It is shown that the nonlocal nature of the inter-site potential can lead to an increase in the local cooperativity of the base pairs' opening an increasing in the number of simultaneously opening adjacent nucleotide pairs during the denaturation bubble's nucleation. The process of the formation and propagation of mobile breathers excited by the initial displacements of a number of nucleotide pairs has been studied. It is revealed that taking account of the non-local coupling in the Peyrard-Bishop-Dauxois model, while maintaining the remaining parameters of the model, leads to a decrease in the speed of the mobile breather and an increase in the probability of nucleation of the denaturation bubble.

Homogenization for a non-local coupling model

2008 ◽  
Vol 87 (12) ◽  
pp. 1311-1323 ◽  
Author(s):  
R. Hochmuth
Keyword(s):  
Coupling Model ◽  
Non Local ◽  
Local Coupling

scholarly journals Strong interaction between plants induces circular barren patches: fairy circles

2014 ◽  
Vol 372 (2027) ◽  
pp. 20140009 ◽  
Author(s):  
C. Fernandez-Oto ◽  
M. Tlidi ◽  
D. Escaff ◽  
M. G. Clerc
Keyword(s):  
South Africa ◽  
Strong Interaction ◽  
Stabilization Mechanism ◽  
Bare State ◽  
Circular Shape ◽  
Localized Structures ◽  
Non Local ◽  
Model Independent ◽  
Local Coupling

Fairy circles consist of isolated or randomly distributed circular areas devoid of any vegetation. They are observed in vast territories in southern Angola, Namibia and South Africa. We report on the formation of fairy circles, and we interpret them as localized structures with a varying plateau size as a function of the aridity. Their stabilization mechanism is attributed to a combined influence of the bistability between the bare state and the uniformly vegetation state, and Lorentzian-like non-local coupling that models the competition between plants. We show how a circular shape is formed, and how the aridity level influences the size of fairy circles. Finally, we show that the proposed mechanism is model-independent.

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